each of two urns contains green balls and red balls. urn I contains 8 green balls and 12 red balls. Urn II contains 5 green balls and 8 red balls. if a ball is drawn from each urn, what is P(red and red)?
A. 79/65
B. 24/65
C. 20/33
D. 2/13
12/20 * 8/13
To find the probability of drawing a red ball from each urn, we need to first find the probability of drawing a red ball from Urn I and the probability of drawing a red ball from Urn II.
Urn I contains a total of 8 + 12 = 20 balls.
The probability of drawing a red ball from Urn I is therefore 12/20 = 3/5.
Urn II contains a total of 5 + 8 = 13 balls.
The probability of drawing a red ball from Urn II is therefore 8/13.
To find the probability of drawing a red ball from each urn, we multiply the probabilities together:
P(red and red) = (3/5) * (8/13) = 24/65.
Therefore, the correct answer is B. 24/65.